5133385800 has 192 divisors, whose sum is σ = 18612648000. Its totient is φ = 1296829440.

The previous prime is 5133385799. The next prime is 5133385813. The reversal of 5133385800 is 85833315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77584 + ... + 127616.

It is an arithmetic number, because the mean of its divisors is an integer number (96940875).

Almost surely, 2^5133385800 is an apocalyptic number.

5133385800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5133385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306324000).

5133385800 is an abundant number, since it is smaller than the sum of its proper divisors (13479262200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5133385800 is a wasteful number, since it uses less digits than its factorization.

5133385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50077 (or 50062 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5133385800 is about 71647.6503452835. The cubic root of 5133385800 is about 1725.0484674473.

The spelling of 5133385800 in words is "five billion, one hundred thirty-three million, three hundred eighty-five thousand, eight hundred".